Regularity for nonlinear variational inequalities of hyperbolic type

被引：0
|
作者：
Jeong, Jin-Mun [1 ]
Ju, Eun-Young [1 ]
Cheon, Su-Jin [1 ]
机构：
[1] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 11期
基金：
新加坡国家研究基金会;
关键词：
Variational inequalities; Hyperbolic type equation; Nonlinear perturbation; Wellposedness; Analytic semigroup;
D O I：
10.1016/j.camwa.2011.10.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we deal with the regularity for nonlinear variational inequalities of second order in Hilbert spaces with more general conditions on the nonlinear terms and without condition of the compactness of the principal operators. We also obtain the norm estimate of a solution of the given nonlinear equation on C([0, T]; V)boolean AND C(1), ((0, T]; H)boolean AND C(2) ((0, T]; V*) by using the results of its corresponding hyperbolic semilinear part. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：4230 / 4237
页数：8
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